NOC:Computational Geomechanics

Lecture 1 - Mathematical Modeling and Governing Equation

Lecture 2 - Solution of governing equation and computer implementation

Lecture 3 - Estimation of Numerical Error and error propagation

Lecture 4 - Numerical Stability and round-off errors

Lecture 5 - Number representation and Computational Limits

Lecture 6 - Numerical differentiation

Lecture 7 - Higher order numerical differentiation and Eigen Value problem

Lecture 8 - Buckling of column and Numerical solution

Lecture 9 - Smallest Eigen value and Roots of characteristic equation

Lecture 10 - Higher Order Numerical Differentiation and Elgen Value Problem

Lecture 11 - Buckling of column and Numerical solution

Lecture 12 - Smallest Eigen value and Roots of characteristic equation

Lecture 13 - Roots of characteristic equation - Bracketing method

Lecture 14 - Roots of characteristic equation - Open method

Lecture 15 - Roots of characteristic polynomial

Lecture 16 - Initial value vs Boundary value problem

Lecture 17 - RK Method and Multi-Step Method

Lecture 18 - System of equations, stiffness and multi-Step Method (Continued...)

Lecture 19 - System of equations, stiffness and multi-Step Method (Continued...)

Lecture 20 - System of equations, stiffness and multi-Step Method (Continued...)

Lecture 21 - Solutions of Simultaneous linear algebraic equations (continued...)

Lecture 22 - Application of FDM - Axially loaded pile

Lecture 23 - BEM for laterally loaded semi-infinite pile

Lecture 24 - BEM for laterally loaded pile (Continued...)

Lecture 25 - Buckling of piles

Lecture 26 - FDM Application - Infinite beam subjected to a point load

Lecture 27 - FDM Application - Infinite beam subjected to a concentrated moment

Lecture 28 - FDM for laterally loaded pile

Lecture 29 - FDM for laterally loaded pile and buckling of column

Lecture 30 - FDM for buckling of column and BEM (Continued...)

Lecture 31 - Finite Difference Method And Laplace Equation

Lecture 32 - Finite Difference Method And Laplace Equation (Continued...)

Lecture 33 - Finite Difference Method And Laplace Equation (Continued...)

Lecture 34 - Finite Difference Method And Parabolic nequation - Explicit Method

Lecture 35 - Parabolic equation - Explicit and Implicit Method

Lecture 36 - Parabolic equation - Explicit and Implicit Method

Lecture 37 - Parabolic equation - 1-D Consolidation problem

Lecture 38 - FDM for 2D seepage problem

Lecture 39 - FDM for Mat Foundation

Lecture 40 - Approximate methods of solution

Lecture 41 - Constitutive Models for geomechanics

Lecture 42 - Approximate methods for Beam on elastic foundation problem

Lecture 43 - Introduction to Finite Element Method

Lecture 44 - Formulation of Stiffness matrix-direct approach

Lecture 45 - Application of Direct stiffness Methods for 1D Spring element

Lecture 46 - Stiffness Matrix Using Shape Functions and Truss Element

Lecture 47 - Truss analysis

Lecture 48 - Flow through porous medium

Lecture 49 - Variational method for flow through porous medium

Lecture 50 - Variational method for 1D consolidation and bar element

Lecture 51 - Strain energy method for bar element (Continued...)

Lecture 52 - Formulation of stiffness matrix for beam element

Lecture 53 - Formulation of stiffness matrix for beam element (Continued....)

Lecture 54 - Analysis of beam

Lecture 55 - Determination of shape function for 2D CST element

Lecture 56 - Determination of Stiffness matrix for CST element (Continued...)

Lecture 57 - Body force and surface force and numerical integration

Lecture 58 - Iso-parameteric element

Lecture 59 - Axisymmetric element